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关于Banach空间中一类非线性积分微分方程(Ⅱ)
引用本文:郑权. 关于Banach空间中一类非线性积分微分方程(Ⅱ)[J]. 四川大学学报(自然科学版), 1989, 0(3)
作者姓名:郑权
作者单位:四川大学数学系
摘    要:以非紧致测度为工具,继续讨论了一类非线性积分微分方程解的存在性和解集对参数的上半连续依赖性,并在序Banach空间中证明了极值解的存在性及相应的比较定理.

关 键 词:Banach空间  积分微分方程  非线性  极值解  比较定理

ON A CLASS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES (II )
Zheng Quan. ON A CLASS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES (II )[J]. Journal of Sichuan University (Natural Science Edition), 1989, 0(3)
Authors:Zheng Quan
Affiliation:Department of mathematics
Abstract:In this paper, we study further the following class of nonlinear integro- differential eguations in Banach spaees by using non compact measureFirst, we prove some existence of solution and upper semicontinuity of solutions set for equation above. Next, we obtain the existence of extremal solution and comparison theorems for this equation in order Banach spaces.
Keywords:Banach space   integro-differential equation   nonlinear   extremal solution   comparision theorem.
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